Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 12 - Matrices - 12-1 Adding and Subtracting Matrices - Practice and Problem-Solving Exercises - Page 769: 19

Answer

$A+B=\begin{bmatrix} 0 & 5 \\ 8 & -6 \\ 0 & 5 \end{bmatrix}$

Work Step by Step

Adding/Subtracting each corresponding element, with $ A=\begin{bmatrix} 3 & 4 \\ 6 & -2 \\ 1 & 0 \end{bmatrix} $ and $ B=\begin{bmatrix} -3 & 1 \\ 2 & -4 \\ -1 & 5 \end{bmatrix} ,$ then \begin{align*} A+B&= \begin{bmatrix} 3 & 4 \\ 6 & -2 \\ 1 & 0 \end{bmatrix} + \begin{bmatrix} -3 & 1 \\ 2 & -4 \\ -1 & 5 \end{bmatrix} \\\\&= \begin{bmatrix} 3+(-3) & 4+1 \\ 6+2 & -2+(-4) \\ 1+(-1) & 0+5 \end{bmatrix} \\\\&= \begin{bmatrix} 0 & 5 \\ 8 & -6 \\ 0 & 5 \end{bmatrix} .\end{align*} Hence, $ A+B=\begin{bmatrix} 0 & 5 \\ 8 & -6 \\ 0 & 5 \end{bmatrix} .$
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